1577504606104 has 64 divisors (see below), whose sum is σ = 3560549817600. Its totient is φ = 640082217600.

The previous prime is 1577504606087. The next prime is 1577504606107. The reversal of 1577504606104 is 4016064057751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1577504606107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199674 + ... + 2143414.

It is an arithmetic number, because the mean of its divisors is an integer number (55633590900).

Almost surely, 2^{1577504606104} is an apocalyptic number.

1577504606104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1577504606104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780274908800).

1577504606104 is an abundant number, since it is smaller than the sum of its proper divisors (1983045211496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1577504606104 is a wasteful number, since it uses less digits than its factorization.

1577504606104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945344 (or 945340 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 1577504606104 in words is "one trillion, five hundred seventy-seven billion, five hundred four million, six hundred six thousand, one hundred four".